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Finding the Fourth Proportional to 5,442.75, 7,506.75 and 3,649.64

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Solution

The fourth proportional to 5,442.75, 7,506.75 and 3,649.64 is: 5,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.75 : 7,506.75 = 3,649.64 : x
  2. Step 2: Convert to fraction form
    5,442.75/7,506.75 = 3,649.64/x
  3. Step 3: Cross multiply
    5,442.75x = 7,506.75 × 3,649.64
  4. Step 4: Simplify right side
    5,442.75x = 27,396,897.54
  5. Step 5: Solve for x
    x = 27,396,897.54/5,442.75
  6. Step 6: Final answer
    x = 5,033.65

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.